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Finding the Third Proportional to 192,823 and 288,095

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Solution

The third proportional to 192,823 and 288,095 is: 430,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,823 : 288,095 = 288,095 : x
  2. Step 2: Convert to fraction form
    192,823/288,095 = 288,095/x
  3. Step 3: Cross multiply
    192,823x = 288,095 × 288,095
  4. Step 4: Simplify right side
    192,823x = 82,998,729,025
  5. Step 5: Solve for x
    x = 82,998,729,025/192,823
  6. Step 6: Final answer
    x = 430,439.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.